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MATLAB ONLY MATLAB ONLY MATLAB ONLY Mathematician Leibniz found that i can be approximated by n 4 7 4 1 + 4 11 3 +

MATLAB ONLY MATLAB ONLY MATLAB ONLY

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Mathematician Leibniz found that i can be approximated by n 4 7 4 1 + 4 11 3 + 7 9 5 1 +... = 4 (-1)+1 2* i - 1 i=1 (a) Write a user-defined function to implement the Leibniz approximation for a by taking n as the input argument and using for loop, where n is the number of the terms you want to keep in your approximation. (b) Compute the errors in the approximation to a when n = 10, 25, 50, 100. The error is calculated as error = approximation . (c) Write a program in a script file to find out, at least, how many terms needed in the approximation that the difference between Leibniz approximation and true value o is within 0.0001, i.e., [error]

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